Thesis – second partial draft

February 11, 2011

Here’s the  thesis including chapter 3. I’ve started working on chapter 4, but it’s very long and I’m not ready to show it to anyone yet.

Chapter 3 probably isn’t the most friendly or necessary segment, overall. It can probably be skipped unless you’re especially interested in that particular problem or know of some application. It is a weak general result that was found way back when Alexander Volberg and I were trying to figure out the best form we could find of what later became the main theorem of Chapter 2. It’s unlikely that Chapter 3 would have been written had we had those insights sooner. Chapter 3 can be pushed farther probably, but it’s gotten to the point where connections to other problems would have to be necessary first before I’d go back to working on that problem.


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